Wave-packet analysis of single-slit ghost diffraction

Regular Article

Abstract

We show that single-slit two-photon ghost diffraction can be explained very simply by using a wave-packet evolution of a generalised EPR state. Diffraction of a wave travelling in the x-direction can be described in terms of the spreading in time of the transverse (z -direction) wave-packet, within the Fresnel approximation. The slit is assumed to truncate the transverse part of the wave function of the photon to within the width of the slit. The analysis reproduces all features of the two-photon single-slit ghost diffraction.

References

  1. 1.
    A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777 (1935) DOI:10.1103/PhysRev.47.777.CrossRefADSMATHGoogle Scholar
  2. 2.
    E. Schrödinger, Math. Proc. Cambridge Philos. Soc. 31, 555 (1935) DOI:10.1017/S0305004100013554.CrossRefADSGoogle Scholar
  3. 3.
    D.V. Strekalov, A.V. Sergienko, D.N. Klyshko, Y.H. Shih, Phys. Rev. Lett. 74, 3600 (1995) DOI:10.1103/PhysRevLett.74.3600.CrossRefADSGoogle Scholar
  4. 4.
    M. D’Angelo, Y-H. Kim, S.P. Kulik, Y. Shih, Phys. Rev. Lett. 92, 233601 (2004) DOI:10.1103/PhysRevLett.92.233601.CrossRefADSGoogle Scholar
  5. 5.
    S. Thanvanthri, M.H. Rubin, Phys. Rev. A 70, 063811 (2004) DOI:10.1103/PhysRevA.70.063811.CrossRefADSGoogle Scholar
  6. 6.
    Y-H. Zhai, X-H. Chen, D. Zhang, L-A. Wu, Phys. Rev. A 72, 043805 (2005) DOI:10.1103/PhysRevA.72.043805.CrossRefADSGoogle Scholar
  7. 7.
    L. Jie, C. Jing, Chinese Phys. Lett. 28, 094203 (2011) DOI:10.1088/0256-307X/28/9/094203.CrossRefADSGoogle Scholar
  8. 8.
    J. Kofler, M. Singh, M. Ebner, M. Keller, M. Kotyrba, A. Zeilinger, Phys. Rev. A 86, 032115 (2012) DOI:10.1103/PhysRevA.86.032115.CrossRefADSGoogle Scholar
  9. 9.
    D.-S. Ding, Z.-Y. Zhou, B.-S. Shi, X.-B. Zou, G.-C. Guo, AIP Adv. 2, 032177 (2012) DOI:10.1063/1.4754857.CrossRefADSGoogle Scholar
  10. 10.
    P. Chingangbam, T. Qureshi, Prog. Theor. Phys. 127, 383 (2012) DOI:10.1143/PTP.127.383.CrossRefADSMATHGoogle Scholar
  11. 11.
    S. Shafaq, T. Qureshi, Eur. Phys. J. D 68, 52 (2014) DOI:10.1140/epjd/e2014-40541-9.CrossRefADSGoogle Scholar
  12. 12.
    T. Qureshi, P. Chingangbam, S. Shafaq, Understanding ghost interference, arXiv:1406.0633 [quant-ph].
  13. 13.
    G. Vandegrift, Am. J. Phys. 72, 404 (2004) DOI:10.1119/1.1591763.CrossRefADSGoogle Scholar
  14. 14.
    G. Dillon, Eur. Phys. J. Plus 127, 66 (2012) DOI:10.1140/epjp/i2012-12066-2.CrossRefGoogle Scholar
  15. 15.
    A. Zecca, Eur. Phys. J. Plus 126, 18 (2011).CrossRefGoogle Scholar
  16. 16.
    T. Qureshi, Am. J. Phys. 73, 541 (2005) DOI:10.1119/1.1866098.CrossRefADSMathSciNetGoogle Scholar
  17. 17.
    N. Bohr, Nature 121, 580 (1928) DOI:10.1038/121580a0.CrossRefADSMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Centre for Theoretical PhysicsJamia Millia IslamiaNew DelhiIndia
  2. 2.Department of PhysicsJamia Millia IslamiaNew DelhiIndia

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